Periodic orbits and dynamical spectra (Survey)

DOI10.1017/S0143385798113925zbMath0915.58088MaRDI QIDQ4236235

Viviane Baladi

Publication date: 5 July 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

spectral propertiesFredholm determinantstransfer operatorsweighted dynamical zeta functions

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

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Kneading operators, sharp determinants, and weighted Lefschetz zeta functions in higher dimensions ⋮ Continuous orbit equivalence of topological Markov shifts and KMS states on Cuntz-Krieger algebras ⋮ Intertwining the geodesic flow and the Schrödinger group on hyperbolic surfaces ⋮ Topological entropy and Arnold complexity for two-dimensional mappings ⋮ THE PRIME GEODESIC THEOREM AND QUANTUM MECHANICS ON FINITE VOLUME GRAPHS: A REVIEW ⋮ On flow equivalence of one-sided topological Markov shifts ⋮ Real topological entropy versus metric entropy for birational measure-preserving transformations ⋮ Real Arnold complexity versus real topological entropy for birational transformations ⋮ Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems

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